The angle of depression is the angle that is created from a horizontal line drawn from the upper angle of the right triangle that is created in this situation. The angle of depression is an angle exterior to the triangle. It is complementary to the interior angle. So if the angle of depression is 30 and lie outside the triangle, the interior angle has to measure 60. The pole creates a 90 angle with the ground, so what we have here is a 30-60-90 triangle. The one base angle is the right angle (the one the pole makes with the ground) and the other base angle measures 30. We are given the length of the base leg as 75 and we are looking for the height of the pole (the other leg). You would use the tangent ratio to solve for the height of the pole.
Tan(30)=x/75, and 75 tan(30)=x. Doing that on your calculator in degree mode gives you a pole height of 43.3 feet, or 43 feet (which is the height to the nearest foot)
Answer:
1, The units for x are degrees Celsius and the units for y are grams.
2. The weather would be more humid because the water and temperature is increasing at a high rate
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
In an experiment a mouse took the mean time to find its way through a maze = 18 seconds.
So the mean time μ = 18
So null hypothesis says,
H₀ : μ = 18
Then a researcher thought that the mice can complete the maze faster than the time taken earlier.
So he thinks mean time taken by 10 mice will be less than 18 seconds.
Or μ < 18
Alternate hypothesis says will be
Hₐ : μ < 18
Therefore, null hypothesis and alternate hypothesis will be
H₀ : μ = 18
Hₐ : μ < 18
Option A. will be the answer.